For the function g(x) shown below, compute the following limits or state that they do not exist. if xs - 2 g(x) = { V4- x² if - 2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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For the function g(x) shown below, compute the following limits or state that they do not exist.
if xs - 2
g(x) = { V4- x² if - 2<x<2
5x
if x22
lim g(x) b.
lim g(x) c. lim g(x) d. lim g(x) e. lim g(x) f. lim g(x)
x-2
а.
x--2
x→-2*
X-2
x-2*
x-2
a. Find
lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
X→-2
OA.
lim g(x) =
x--2
O B. The limit does not exist.
b. Find
lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
X→-2*
O A.
lim g(x) =
X→-2*
O B. The limit does not exist.
c. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
X-2
O A.
lim g(x) =
X-2
O B. The limit does not exist.
d. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x-2
O A.
lim g(x) =
x-2
O B. The limit does not exist.
e. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x-2*
Transcribed Image Text:For the function g(x) shown below, compute the following limits or state that they do not exist. if xs - 2 g(x) = { V4- x² if - 2<x<2 5x if x22 lim g(x) b. lim g(x) c. lim g(x) d. lim g(x) e. lim g(x) f. lim g(x) x-2 а. x--2 x→-2* X-2 x-2* x-2 a. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X→-2 OA. lim g(x) = x--2 O B. The limit does not exist. b. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X→-2* O A. lim g(x) = X→-2* O B. The limit does not exist. c. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X-2 O A. lim g(x) = X-2 O B. The limit does not exist. d. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-2 O A. lim g(x) = x-2 O B. The limit does not exist. e. Find lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-2*
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